Question

Out of the 10 apples that I had, $\frac{2}{5}$ of them were spoilt. After selling off some of them, I was left with $\frac{1}{3}$ of the fresh apples. Half of the remaining apples were eaten up by my friend. Then the number of apples left with me is ___.

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

The correct option is B

1

Total number of apples = 10
Number of apples that were spoilt $=10\times \frac{2}{5}=$ 4 apples.
Now, the number of apples left = 6 apples
Number of fresh apples left, after selling some of them = $6\times \frac{1}{3}$ = 2 apples.
Since half of the 2 apples is eaten by friend, the number of apples left = $2\times \frac{1}{2}$ = 1 apple
Therefore, only 1 apple is left.